Day 3 Notes

1.4 Definition of the Trigonometric Functions OBJ:  Evaluate trigonometric expressions involving quadrantal angles OBJ:  Find the angle of smallest possible measure coterminal with a given angle

13) cos 90 º + 3 sin 270 º + 3( ) 0 + 3( ) 0 + 3(-1) -3

15) 3 sec 180  – 5 tan 360  3( ) – 5( ) 3(-1) – 5( ) 3(-1) – 5(0) -3

17) tan360  + 4sin180  + 5cos  + 4( ) + 5( ) ( ) + 5( ) (0) + 5( ) (0) + 5(-1) 2 5

19) sin  + cos  + ( ) ( ) (-1) 2 1

21)sec  - 3sin  + 2cos180  ( ) 2 – 3( ) ( ) (-1) 2 – 3(0) (-1) 1 – 2

23) 2sec  -4sin 2 90  +  5cos180  2( ) 2 – 4( ) 2 +  5( )  2(1) 2 – 4( ) 2 +  5( )  2(1) 2 – 4(1) 2 +  5( )  2(1) 2 – 4(1) 2 +  5(-1)  2 –

-4  sin 90  +3  cos 180  +2  csc 270  -4( ) + 3   + 2   -4(1) + 3   + 2   -4(1) + 3  -1  + 2   -4(1) + 3  -1  + 2  -1  –

DEF:  Coterminal Angles Angles with the same initial side and the same terminal side

EX:  Find the angles of smallest possible measure coterminal with the following angles: 908  y x

EX:  Find the angles of smallest possible measure coterminal with the following angles: 908  908  – 720  188  y x

EX:  Find the angles of smallest possible measure coterminal with the following angles: - 75  y x

EX:  Find the angles of smallest possible measure coterminal with the following angles: - 75  360  – 75  285  y x